Answer:
The fundamental resonance frequency is 172 Hz.
Explanation:
Given;
velocity of sound, v = 344 m/s
total length of tube, Lt = 1 m = 100 cm
height of water, hw = 50 cm
length of air column, L = Lt - hw = 100 cm - 50 cm = 50 cm
For a tube open at the top (closed pipe), the fundamental wavelength is given as;
Node to anti-node (N ---- A) : L = λ / 4
λ = 4L
λ = 4 (50 cm)
λ = 200 cm = 2 m
The fundamental resonance frequency is given by;
Therefore, the fundamental resonance frequency is 172 Hz.
Answer:
Private jet is 200 mph
Commercial jet is 225 mph
Explanation:
Let the speed of private jet be x mph therefore the speed of commercial jet will be 2x-175 mph
The distance is the same
Speed is distance per unit time hence distance is product of speed and time
Distance by private jet is 9x
Distance by commercial jet is 8(2x-175)
Since the distance is the same
9x=8(2x-175)
9x=16x-1400
7x=1400
X=200
Then 2x-175= 400-175=225
Speed of private jet is 200 mph while commercial jet is 225 mph
Answer:
λ = V / f the wavelength versus the frequency
V = f λ and V (speed) proportional λ for a fixed frequency
F = f^2 * (M / L) * λ^2 = (f * λ)^2 * (M / L)^2 force (tension) on string at a given frequency
F2 / F1 = (λ2 / λ1)^2 other items are constant
Let λ1 = 6 then λ2 must be 3/2 λ1 for a constant length
F2 / F1 = (6 / 4)^2 = 9/4
The tension must be increased to 9 / 4 of the original tension
Check: if the frequency is fixed then V will be larger for a larger wavelength (situation 2)
One can also write V = (F / (M / L))^1/2
Then for fixed M L
F2 / F1 = (V2 / V1)^2
Since V = f λ Velocity is proportional to λ for a fixed frequency
Then if V2 / V1 = 3 / 2 F2 = 9/4 F1
Answer: Anthony will be warmer after the game.
Explanation :
Anthony and Maelynn are watching a football game outside on a sunny day. Anthony is wearing a black shirt and Maelynn is wearing a white shirt. Anthony will be warmer after the game. The black color is a good absorber of radiation and a bad reflector.
The black color absorbs heat until a thermal equilibrium is attained. So, it is advisable to wear cotton clothes in summers not dark colored clothes.
Answer:
Velocity of proton will be equal to 4500 m/sec
Explanation:
We have given that proton moves right angles through a magnetic field
So angle between magnetic field and velocity of proton is
Magnetic field B = 0.025 Tesla
Charge on proton
Magnetic force on the proton is given
Magnetic force on a moving charge particle is equal to
So
v = 4500 m/sec
So velocity of proton will be equal to 4500 m/sec